Statistical mechanics of the self-gravitating gases
Abstract
The self-gravitating systems are formed by particles interacting through gravity. They describe structure formation in the universe. As a consequence of the long range interaction of gravity, they are inhomogeneous even at thermal equilibrium. We study the self-gravitating systems with several kinds of particles and the self-gravitating systems in the presence of the cosmological constant . We formulate the statistical mechanics and the mean field approach describing the gaseous phase. We explicitely compute the density of particles and thermodynamic quantities. The presence of extends the domain of stability of the gaseous phase. Monte Carlo simulations show that the mean field describes the gaseous phase with an excellent accuracy. Scalling law of the self-gravitating systems with several kinds of particles is found. At the critical point the fractal dimension is independant of their composition and is ~.
Keywords
Cite
@article{arxiv.astro-ph/0509808,
title = {Statistical mechanics of the self-gravitating gases},
author = {Julien Siebert},
journal= {arXiv preprint arXiv:astro-ph/0509808},
year = {2007}
}